MacCormack-TVD Finite Difference Solution for Dam Break Hydraulics over Erodible Sediment Beds

Abstract

Coupled shallow water equations integrated with sediment transport and morphological evolution are presented in this paper. The momentum exchange terms that originated from the interaction between flow and sediment, which were ignored by several researchers, are taken into account. The time and space second-order, MacCormack total variation diminishing (TVD) finite difference method is used to solve these equations. A series of numerical simulations compared with laboratory dam-break experiments were carried out. The simulated results are in good agreement with experimental measured results, which demonstrates that the current computational framework is able to determine the dam-break hydraulics over erodible sediment.